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A158439 Numbers arising in Kane's conjecture on representing sets with sums of triangular numbers. 0

%I #6 Apr 07 2014 16:57:11

%S 1,5,7,9,11,13,17,19,25,29,35,49,89

%N Numbers arising in Kane's conjecture on representing sets with sums of triangular numbers.

%C Similar to Conway-Schneeberger 15 theorem. Kane, p.2: Conjecture 1.3. A sum of triangular numbers f represents all odd integers if and only if it represents the integers 1, 5, 7, 9, 11, 13, 17, 19, 25, 29, 35, 49, 89.

%H Ben Kane, <a href="http://arxiv.org/abs/0903.3026">Representing Sets with Sums of Triangular Numbers</a>, arXiv:0903.3026 [math.NT], Mar 17 2009.

%Y Cf. A000217, A030050.

%K nonn,fini,full

%O 1,2

%A _Jonathan Vos Post_, Mar 19 2009

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Last modified April 16 04:38 EDT 2024. Contains 371696 sequences. (Running on oeis4.)